See the explanation
Explanation:
Here we have the following points:
[tex](3,9) \ and \ (-3,-9)[/tex]
The point-slope form of the equation of a line is:
[tex]y=ax+b \\ \\ \\ a:Slope \\ \\ b:y-intercept[/tex]
So the slope can be found as:
[tex]a=\frac{-9-9}{-3-3} \\ \\ a=\frac{-18}{-6} \\ \\ a=3[/tex]
So:
[tex]y=3x+b \\ \\ \\ Finding \ b: \\ \\ For \ x=3, \ y=9: \\ \\ \\ So: \\ \\ 9=3(3)+b \\ \\ b=9-9 \\ \\ b=0[/tex]
So the equation is finally:
[tex]y=3x[/tex]
This line passes through and is shown below.
Learn more:
About lines: https://brainly.com/question/14427236#
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